Group-Theoretical Analysis of Octahedral Tilting in Perovskites
Abstract
A group-theoretical analysis is made of the structures derived from the aristotype cubic perovskite (Pm3¯m) by the simple tilting of rigid octahedral units. The tilting is mediated by the irreducible representations R^+_4 and M^+_3 or the two in combination. These result in 15 possible structures, compared with the 23 possibilities suggested previously by Glazer [Acta Cryst. (1972), B28, 3384-3392]. The analysis makes the group-subgroup relationships apparent.
- Publication:
-
Acta Crystallographica Section B
- Pub Date:
- December 1998
- DOI:
- 10.1107/S0108768198004200
- Bibcode:
- 1998AcCrB..54..782H